Riemannian geometry /

Guardado en:
Autor Principal: Carmo, Manfredo Perdigão do.
Formato: Libro
Idioma:English
Portuguese
Publicado: Boston : Birkhäuser, c1992.
Series:Mathematics (Boston, Mass.)
Materias:
Acceso en línea:Publisher description
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Tabla de Contenidos:
  • 0. Differentiable Manifolds
  • 1. Riemannian Metrics
  • 2. Affine Connections; Riemannian Connections
  • 3. Geodesics; Convex Neighborhoods
  • 4. Curvature
  • 5. Jacobi Fields
  • 6. Isometric Immersions
  • 7. Complete Manifolds; Hopf-Rinow and Hadamard Theorems
  • 8. Spaces of Constant Curvature
  • 9. Variations of Energy
  • 10. The Rauch Comparison Theorem
  • 11. The Morse Index Theorem
  • 12. The Fundamental Group of Manifolds of Negative Curvature
  • 13. The Sphere Theorem.